NORM.INV function: Description, Usage, Syntax, Examples and Explanation

What is NORM.INV function in Excel?

NORM.INV function is one of Statistical functions in Microsoft Excel that returns the inverse of the normal cumulative distribution for the specified mean and standard deviation.

Syntax of NORM.INV function

NORM.INV(probability,mean,standard_dev)

The NORM.INV function syntax has the following arguments:

  • Probability: A probability corresponding to the normal distribution.
  • Mean: The arithmetic mean of the distribution.
  • Standard_dev: The standard deviation of the distribution.

NORM.INV formula explanation

  • If any argument is nonnumeric, NORM.INV returns the #VALUE! error value.
  • If probability <= 0 or if probability >= 1, NORM.INV returns the #NUM! error value.
  • If standard_dev ≤ 0, NORM.INV returns the #NUM! error value.
  • If mean = 0 and standard_dev = 1, NORM.INV uses the standard normal distribution (see NORMS.INV).

Given a value for probability, NORM.INV seeks that value x such that NORM.DIST(x, mean, standard_dev, TRUE) = probability. Thus, precision of NORM.INV depends on precision of NORM.DIST.

Example of NORM.INV function

Steps to follow:

1. Open a new Excel worksheet.

2. Copy data in the following table below and paste it in cell A1

Note: For formulas to show results, select them, press F2 key on your keyboard and then press Enter.

You can adjust the column widths to see all the data, if need be.

Data Description
0.908789 Probability corresponding to the normal distribution
40 Arithmetic mean of the distribution
1.5 Standard deviation of the distribution
Formula Description Result
=NORM.INV(A2,A3,A4) Inverse of the normal cumulative distribution for the terms above (42) 42.000002

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